Least Common Multiple of 411/96, 384/29, 854/272

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 411/96, 384/29, 854/272 quickly i.e. 22463616 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 411/96, 384/29, 854/272 is 22463616.

LCM(411/96, 384/29, 854/272) = 22463616

LCM of 411/96, 384/29, 854/272

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 411/96,384/29,854/272

Given numbers are 411/96,384/29,854/272

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 411,384,854

Least Common Multiple of Numerators i.e. LCM of 411,384,854 is 22463616.

GCF of Denominators means GCF of 96,29,272 as per the given fractions.

GCF of 96,29,272 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 411,384,854

LCM of Fractions 411/96,384/29,854/272 is 22463616

2 411, 384, 854
3 411, 192, 427
137, 64, 427

∴ So the LCM of the given numbers is 2 x 3 x 137 x 64 x 427 = 22463616

Least Common Multiple of 411,384,854 with GCF Formula

Least Common Multiple of 411,384,854 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 411,384,854 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(411,384,854) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(411,384,854) x common factors =1 x 6 = 6

LCM(411,384,854) = ( 411 × 384 × 854 ) / 6

LCM(411,384,854) = 134781696 / 6

LCM(411,384,854) = 22463616


Lets's calculate GCF of 96,29,272

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 22463616/1

Therefore the LCM of Fractions 411/96,384/29,854/272 is 22463616

Greatest Common Factor of 96,29,272 By Matching Biggest Common Factor Method

Greatest Common Factor of 96,29,272 By Matching Biggest Common Factor Method

Factors of 96

List of positive integer factors of 96 that divides 96 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,96

Factors of 29

List of positive integer factors of 29 that divides 29 without a remainder.

1,29

Factors of 272

List of positive integer factors of 272 that divides 272 without a remainder.

1,2,4,8,16,17,34,68,136,272

Greatest Common Factor

We found the factors 96,29,272 . The biggest common factor number is the GCF number.
So the greatest common factor 96,29,272 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 411/96, 384/29, 854/272

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 411/96, 384/29, 854/272?

Answer: LCM of Numerators as per given numbers 411/96, 384/29, 854/272 is

LCM of Numerators i.e. for 411,384,854 is 22463616

GCF of denominators i.e. for 96,29,272 is 1.

Thus, LCM of Fractions is 22463616.Finally, LCM of Fractions for 411/96, 384/29, 854/272 is 22463616.